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Finding the Fourth Proportional to 578.17, 867.34 and 213.47

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Solution

The fourth proportional to 578.17, 867.34 and 213.47 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.17 : 867.34 = 213.47 : x
  2. Step 2: Convert to fraction form
    578.17/867.34 = 213.47/x
  3. Step 3: Cross multiply
    578.17x = 867.34 × 213.47
  4. Step 4: Simplify right side
    578.17x = 185,151.07
  5. Step 5: Solve for x
    x = 185,151.07/578.17
  6. Step 6: Final answer
    x = 320.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.